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Simplifying 5x + 6 + -3x = 34 + 8x + -1 Reorder the terms: 6 + 5x + -3x = 34 + 8x + -1 Combine like terms: 5x + -3x = 2x 6 + 2x = 34 + 8x + -1 Reorder the terms: 6 + 2x = 34 + -1 + 8x Combine like terms: 34 + -1 = 33 6 + 2x = 33 + 8x Solving 6 + 2x = 33 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 2x + -8x = 33 + 8x + -8x Combine like terms: 2x + -8x = -6x 6 + -6x = 33 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -6x = 33 + 0 6 + -6x = 33 Add '-6' to each side of the equation. 6 + -6 + -6x = 33 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 33 + -6 -6x = 33 + -6 Combine like terms: 33 + -6 = 27 -6x = 27 Divide each side by '-6'. x = -4.5 Simplifying x = -4.5
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